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An algebraic framework for information theory: classical information

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JournalIMA Journal of Mathematical Control and Information
DatePublished - Jun 2013
Issue number2
Volume30
Number of pages34
Pages (from-to)205-238
Original languageEnglish

Abstract

This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analysed in the algebraic setting. Examples from probability and information theory demonstrate that in addition to theoretical insights provided by the algebraic model one obtains new computational and analytical tools. Several important theorems of classical probability and information theory are formulated and proved in the algebraic framework.

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